Assume the carrying capacity of the earth is 8
billion. Use the 1960s peak annual growth rate of 2.1
%
and population of 3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of 6.8
billion. How does the predicted growth rate compare to the actual growth rate of about 1.2
%
per year?
What is the base growth rate?
nothing
%
(Round to four decimal places as needed.)
What is the estimated current growth rate?
nothing
%
(Round to two decimal places as needed.)
How does the estimated growth rate compare to the actual current growth rate?
A.
The predicted growth rate is the same as the actual growth rate.
B.
The predicted growth rate is larger
than the actual growth rate.
C.
The predicted growth rate is smaller
than the actual growth rate.
3 answers
Recall that the logistic model is
P(t) = KP0 / (P0 + (K-P0)e^-rt)
where
K is the carrying capacity (maximum possible value)
P0 is the initial population (at t=0)
r is the growth rate
wikipedia's article is a good place to study this model:
https://en.wikipedia.org/wiki/Logistic_function